A) hyperbola
B) circle
C) straight line
D) parabola
Correct Answer: D
Solution :
The time provide of pendulum \[T=2\pi \sqrt{\frac{l}{g}}\] \[\therefore \,\,\,T\propto \sqrt{l}\] So, the graph between T and / wilt be parabola The time period of mass m attached to a spring \[T=2\pi \sqrt{\frac{m}{k}}\] According to question, \[T'=2\pi \sqrt{\frac{m+M}{k}}\] According to question, T? = nT \[\therefore \,\,\] \[\sqrt{\frac{m}{k}}=4\sqrt{\frac{m+M}{K}}\] \[\,\frac{m}{K}=16\left( \frac{m+M}{K} \right)\] \[15m=M\] \[\,m=\frac{M}{15}\]
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